X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=components%2Fcic%2FhelmLibraryObjects.ml;fp=components%2Fcic%2FhelmLibraryObjects.ml;h=3038582ab67e6ce60f6e573bb3dd27cd83fb4ed5;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1

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+(* Copyright (C) 2005, HELM Team.
+ * 
+ * This file is part of HELM, an Hypertextual, Electronic
+ * Library of Mathematics, developed at the Computer Science
+ * Department, University of Bologna, Italy.
+ * 
+ * HELM is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ * 
+ * HELM is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with HELM; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA  02111-1307, USA.
+ * 
+ * For details, see the HELM World-Wide-Web page,
+ * http://cs.unibo.it/helm/.
+ *)
+
+(* $Id$ *)
+
+(** {2 Auxiliary functions} *)
+
+let uri = UriManager.uri_of_string
+
+let const ?(subst = []) uri = Cic.Const (uri, subst)
+let var ?(subst = []) uri = Cic.Var (uri, subst)
+let mutconstruct ?(subst = []) uri typeno consno =
+  Cic.MutConstruct (uri, typeno, consno, subst)
+let mutind ?(subst = []) uri typeno = Cic.MutInd (uri, typeno, subst)
+
+let indtyuri_of_uri uri =
+  let index_sharp =  String.index uri '#' in
+  let index_num = index_sharp + 3 in
+  (UriManager.uri_of_string (String.sub uri 0 index_sharp),
+   int_of_string(String.sub uri index_num (String.length uri - index_num)) - 1)
+
+let indconuri_of_uri uri =
+  let index_sharp =  String.index uri '#' in
+  let index_div = String.rindex uri '/' in
+  let index_con = index_div + 1 in
+    (UriManager.uri_of_string (String.sub uri 0 index_sharp),
+    int_of_string
+      (String.sub uri (index_sharp + 3) (index_div - index_sharp - 3)) - 1,
+    int_of_string
+      (String.sub uri index_con (String.length uri - index_con)))
+
+(** {2 Helm's objects shorthands} *)
+
+module Logic =
+  struct
+    let eq_SURI = "cic:/Coq/Init/Logic/eq.ind"
+    let eq_URI = uri eq_SURI
+    let eq_XURI = eq_SURI ^ "#xpointer(1/1)"
+    let eq_ind_URI = uri "cic:/Coq/Init/Logic/eq_ind.con"
+    let eq_ind_r_URI = uri "cic:/Coq/Init/Logic/eq_ind_r.con"
+    let true_URI = uri "cic:/Coq/Init/Logic/True.ind"
+    let false_URI = uri "cic:/Coq/Init/Logic/False.ind"
+    let false_ind_URI = uri "cic:/Coq/Init/Logic/False_ind.con"
+    let ex_SURI = "cic:/Coq/Init/Logic/ex.ind"
+    let ex_URI = uri ex_SURI
+    let ex_XURI = ex_SURI ^ "#xpointer(1/1)"
+    let ex_ind_URI = uri "cic:/Coq/Init/Logic/ex_ind.con"
+    let and_SURI = "cic:/Coq/Init/Logic/and.ind"
+    let and_URI = uri and_SURI
+    let and_XURI = and_SURI ^ "#xpointer(1/1)"
+    let and_ind_URI = uri "cic:/Coq/Init/Logic/and_ind.con"
+    let or_SURI = "cic:/Coq/Init/Logic/or.ind"
+    let or_URI = uri or_SURI
+    let or_XURI = or_SURI ^ "#xpointer(1/1)"
+    let not_SURI = "cic:/Coq/Init/Logic/not.con"
+    let not_URI = uri not_SURI
+    let iff_SURI = "cic:/Coq/Init/Logic/iff.con"
+    let iff_URI = uri "cic:/Coq/Init/Logic/iff.con"
+    let sym_eq_URI = uri "cic:/Coq/Init/Logic/sym_eq.con"
+    let trans_eq_URI = uri "cic:/Coq/Init/Logic/trans_eq.con"
+    let absurd_URI = uri "cic:/Coq/Init/Logic/absurd.con"
+  end
+
+module Datatypes =
+  struct
+    let bool_URI = uri "cic:/Coq/Init/Datatypes/bool.ind"
+    let nat_URI = uri "cic:/Coq/Init/Datatypes/nat.ind"
+
+    let trueb = mutconstruct bool_URI 0 1
+    let falseb = mutconstruct bool_URI 0 2
+    let zero = mutconstruct nat_URI 0 1
+    let succ = mutconstruct nat_URI 0 2
+  end
+
+module Reals =
+  struct
+    let r_URI = uri "cic:/Coq/Reals/Rdefinitions/R.con"
+    let rplus_SURI = "cic:/Coq/Reals/Rdefinitions/Rplus.con"
+    let rplus_URI = uri rplus_SURI
+    let rminus_SURI = "cic:/Coq/Reals/Rdefinitions/Rminus.con"
+    let rminus_URI = uri rminus_SURI
+    let rmult_SURI = "cic:/Coq/Reals/Rdefinitions/Rmult.con"
+    let rmult_URI = uri rmult_SURI
+    let rdiv_SURI = "cic:/Coq/Reals/Rdefinitions/Rdiv.con"
+    let rdiv_URI = uri rdiv_SURI
+    let ropp_SURI = "cic:/Coq/Reals/Rdefinitions/Ropp.con"
+    let ropp_URI = uri ropp_SURI
+    let rinv_SURI = "cic:/Coq/Reals/Rdefinitions/Rinv.con"
+    let rinv_URI = uri rinv_SURI
+    let r0_SURI = "cic:/Coq/Reals/Rdefinitions/R0.con"
+    let r0_URI = uri r0_SURI
+    let r1_SURI = "cic:/Coq/Reals/Rdefinitions/R1.con"
+    let r1_URI = uri r1_SURI
+    let rle_SURI = "cic:/Coq/Reals/Rdefinitions/Rle.con"
+    let rle_URI = uri rle_SURI
+    let rge_SURI = "cic:/Coq/Reals/Rdefinitions/Rge.con"
+    let rge_URI = uri rge_SURI
+    let rlt_SURI = "cic:/Coq/Reals/Rdefinitions/Rlt.con"
+    let rlt_URI = uri rlt_SURI
+    let rgt_SURI = "cic:/Coq/Reals/Rdefinitions/Rgt.con"
+    let rgt_URI = uri rgt_SURI
+    let rtheory_URI = uri "cic:/Coq/Reals/RIneq/RTheory.con"
+    let rinv_r1_URI = uri "cic:/Coq/Reals/RIneq/Rinv_1.con"
+    let pow_URI = uri "cic:/Coq/Reals/Rfunctions/pow.con"
+
+    let r = const r_URI
+    let rplus = const rplus_URI
+    let rmult = const rmult_URI
+    let ropp = const ropp_URI
+    let r0 = const r0_URI
+    let r1 = const r1_URI
+    let rtheory = const rtheory_URI
+  end
+
+module Peano =
+  struct
+    let plus_SURI = "cic:/Coq/Init/Peano/plus.con"
+    let plus_URI = uri plus_SURI
+    let minus_SURI = "cic:/Coq/Init/Peano/minus.con"
+    let minus_URI = uri minus_SURI
+    let mult_SURI = "cic:/Coq/Init/Peano/mult.con"
+    let mult_URI = uri mult_SURI
+    let pred_URI = uri "cic:/Coq/Init/Peano/pred.con"
+    let le_SURI = "cic:/Coq/Init/Peano/le.ind"
+    let le_URI = uri le_SURI
+    let le_XURI = le_SURI ^ "#xpointer(1/1)"
+    let ge_SURI = "cic:/Coq/Init/Peano/ge.con"
+    let ge_URI = uri ge_SURI
+    let lt_SURI = "cic:/Coq/Init/Peano/lt.con"
+    let lt_URI = uri lt_SURI
+    let gt_SURI = "cic:/Coq/Init/Peano/gt.con"
+    let gt_URI = uri gt_SURI
+
+    let plus = const plus_URI
+    let mult = const mult_URI
+    let pred = const pred_URI
+  end
+
+module BinPos =
+  struct
+    let positive_SURI = "cic:/Coq/NArith/BinPos/positive.ind"
+    let positive_URI = uri positive_SURI
+    let xI = mutconstruct positive_URI 0 1
+    let xO = mutconstruct positive_URI 0 2
+    let xH = mutconstruct positive_URI 0 3
+    let pplus_SURI = "cic:/Coq/NArith/BinPos/Pplus.con"
+    let pplus_URI = uri pplus_SURI
+    let pplus = const pplus_URI
+    let pminus_SURI = "cic:/Coq/NArith/BinPos/Pminus.con"
+    let pminus_URI = uri pminus_SURI
+    let pminus = const pminus_URI
+    let pmult_SURI = "cic:/Coq/NArith/BinPos/Pmult.con"
+    let pmult_URI = uri pmult_SURI
+    let pmult = const pmult_URI
+  end
+
+module BinInt =
+  struct
+    let zmult_URI = uri "cic:/Coq/ZArith/BinInt/Zmult.con"
+    let zmult = const zmult_URI
+    let zplus_SURI = "cic:/Coq/ZArith/BinInt/Zplus.con"
+    let zplus_URI = uri zplus_SURI
+    let zplus = const zplus_URI
+    let zminus_SURI = "cic:/Coq/ZArith/BinInt/Zminus.con"
+    let zminus_URI = uri zminus_SURI
+    let zminus = const zminus_URI
+    let z_SURI = "cic:/Coq/ZArith/BinInt/Z.ind"
+    let z_URI = uri z_SURI
+    let z0 = mutconstruct z_URI 0 1
+    let zpos = mutconstruct z_URI 0 2
+    let zneg = mutconstruct z_URI 0 3
+    let zopp_SURI = "cic:/Coq/ZArith/BinInt/Zopp.con"
+    let zopp_URI = uri zopp_SURI
+    let zopp = const zopp_URI
+    let zpower_URI = uri "cic:/Coq/ZArith/Zpower/Zpower.con"
+  end
+
+(** {2 Helpers for creating common terms}
+ *  (e.g. numbers)} *)
+
+exception NegativeInteger
+
+let build_nat n =
+  if n < 0 then raise NegativeInteger;
+  let rec aux = function
+    | 0 -> Datatypes.zero
+    | n -> Cic.Appl [ Datatypes.succ; (aux (n - 1)) ]
+  in
+  aux n
+
+let build_real n =
+  if n < 0 then raise NegativeInteger;
+  let rec aux = function
+    | 0 -> Reals.r0
+    | 1 -> Reals.r1 (* to avoid trailing "+ 0" *)
+    | n -> Cic.Appl [ Reals.rplus; Reals.r1; (aux (n - 1)) ]
+  in
+  aux n
+
+let build_bin_pos n =
+  if n < 1 then raise NegativeInteger;
+  let rec aux = function
+    | 1 -> BinPos.xH
+    | n when n mod 2 = 0 -> Cic.Appl [ BinPos.xO; aux (n / 2) ]
+    | n -> Cic.Appl [ BinPos.xI; aux (n / 2) ]
+  in
+  aux n
+